1001000009873 has 2 divisors, whose sum is σ = 1001000009874. Its totient is φ = 1001000009872.

The previous prime is 1001000009843. The next prime is 1001000009927. The reversal of 1001000009873 is 3789000001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 733852649104 + 267147360769 = 856652^2 + 516863^2 .

It is an emirp because it is prime and its reverse (3789000001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001000009873 - 2³⁰ = 999926268049 is a prime.

It is a super-2 number, since 2×1001000009873² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001000009843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500004936 + 500500004937.

It is an arithmetic number, because the mean of its divisors is an integer number (500500004937).

Almost surely, 2^{1001000009873} is an apocalyptic number.

It is an amenable number.

1001000009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000009873 is an equidigital number, since it uses as much as digits as its factorization.

1001000009873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 1001000009873 in words is "one trillion, one billion, nine thousand, eight hundred seventy-three".